55116344400 has 480 divisors, whose sum is σ = 205284360960. Its totient is φ = 12527370240.

The previous prime is 55116344363. The next prime is 55116344401. The reversal of 55116344400 is 444361155.

It is a super-2 number, since 2×55116344400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55116344401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10402552 + ... + 10407848.

It is an arithmetic number, because the mean of its divisors is an integer number (427675752).

Almost surely, 2^55116344400 is an apocalyptic number.

55116344400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55116344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102642180480).

55116344400 is an abundant number, since it is smaller than the sum of its proper divisors (150168016560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55116344400 is a wasteful number, since it uses less digits than its factorization.

55116344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5383 (or 5372 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 55116344400 in words is "fifty-five billion, one hundred sixteen million, three hundred forty-four thousand, four hundred".